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Finding the Fourth Proportional to 398.01, 596.91 and 241.92

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Solution

The fourth proportional to 398.01, 596.91 and 241.92 is: 362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.01 : 596.91 = 241.92 : x
  2. Step 2: Convert to fraction form
    398.01/596.91 = 241.92/x
  3. Step 3: Cross multiply
    398.01x = 596.91 × 241.92
  4. Step 4: Simplify right side
    398.01x = 144,404.47
  5. Step 5: Solve for x
    x = 144,404.47/398.01
  6. Step 6: Final answer
    x = 362.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.